Ebook: Maths for Chemists

Ideal for the needs of undergraduate chemistry students, this book is a comprehensive text consisting of short, single topic or modular texts concentrating on the fundamental areas of chemistry taught in undergraduate science courses. It provides a concise account of the basic principles underlying a given subject, embodying an independent-learning philosophy and including worked examples. The text is introductory in nature and adopts a sympathetic approach for students who need support and understanding in working with the diverse mathematical tools required in a typical chemistry degree course. The topics covered include: power series, which are used to formulate alternative representations of functions and are important in model building in chemistry; complex numbers and complex functions, which appear in quantum chemistry, spectroscopy and crystallography; matrices and determinants used in the solution of sets of simultaneous linear equations and in the representation of geometrical transformations used to describe molecular symmetry characteristics; and vectors which allow the description of directional properties of molecules. New material includes a new chapter on Statistics and Error Analysis.
Content:
• Front Matter
• Preface
• Table of Contents
1. Numbers and Algebra
2. Functions and Equations: Their Form and Use
3. Limits
4. Differentiation
5. Differentials
6. Integration
7. Differential Equations
8. Power Series
9. Numbers Revisited: Complex Numbers
10. Working with Arrays I: Determinants
11. Working with Arrays II: Matrices and Matrix Algebra
12. Vectors
13. Simple Statistics and Error Analysis
• Appendix 1: Worked Answers to Problems
• Symbols
Subject Index